论文名称： Stability-controllable second-order difference scheme for convection term
作者： Ni M. J.， Tao W. Q.， Wang S. J
来源出版物： Journal of Thermal Science
年卷期页： 1998,7(2):119-130
收录类型： 其他
论文简介： A new finite difference scheme-SCSD scheme has been proposed based on CD (Central Difference) scheme and SUD (Second-order Upwind Difference) scheme. Its basic feature is controllable convective stability and always second-order accuracy (Stability-Controllable Second-order Difference). It has been proven that this scheme is convective-stable if the grid Peclet number |P Δ |≤2/β(0≤β≤1). The advantage of this new scheme has been discussed based on the modified wavenumber analysis by using Fourier transform. This scheme has been applied to the 2-D incompressible convective-diffusive equation and 2-D compressible Euler equation, and corresponding finite difference equations have been derived. Numerical examples of 1-D Burgers equation and 2-D transport equation have been presented to show its good accuracy and controllable convective stability.
原文链接： Stability-controllable second-order difference scheme for convection term